Multiplying and Dividing Rational Expressions

Question 1

The following equation is being multiplied by the LCD. Complete the multiplication to eliminate the denominators.The resulting equation is

Revolt · Accepted Answer

(x – 2)(x + 2) – 3x = (x – 2)(x – 3)

Question 2

Solve the original equation by solving the proportion. The solutions are

Revolt · Accepted Answer

1, 6

Question 3

Which of the solutions are extraneous?

Revolt · Accepted Answer

Neither

Question 4

Question 4

Revolt · Accepted Answer

15(2a – 2) = 5(a2 – 1)

Question 5

The solutions to 15(2a – 2) = 5(a2 – 1) are:

Revolt · Accepted Answer

a = 5, a = 1

Question 6

Rewrite as a proportion.Which of these proportions is equivalent to the original equation?

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/EVresources/3111-08-07-10-10-task/mc001-4.jpg

Question 7

Find the least common denominator for the following rational expressions.

Revolt · Accepted Answer

(r – 1)(r + 1)(r – 4)(r – 5)

Question 8

The following equation is being multiplied by the LCD. Complete the multiplication to eliminate the denominators.The resulting equation is

Revolt · Accepted Answer

(x – 2)(x + 2) – 3x = (x – 2)(x – 3)

Question 9

Question 10

Revolt · Accepted Answer

15(2a – 2) = 5(a2 – 1)

Question 10

Solve the original equation by solving the proportion. The solutions are

Revolt · Accepted Answer

1, 6

Multiplying and Dividing Rational Expressions Answers